Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter

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作者：
Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast Univ., Nanjing 210096, China [1 ]
不详 [2 ]
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来源：
J Syst Eng Electron | 2009年 / 1卷 / 159-167期
关键词：
Digital control systems - Delay control systems - State feedback - Time delay - Controllers - Feedback control - Lyapunov functions - Timing circuits - Adaptive control systems - Nonlinear control systems - Numerical methods - Discrete time control systems;
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摘要：
The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent sufficient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.
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